Least Common Multiple (LCM) of 173 and 169
The least common multiple (LCM) of 173 and 169 is 29237.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 173 and 169?
First, calculate the GCD of 173 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 169 = 1 remainder 4 |
| 2 | 169 ÷ 4 = 42 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 151 | 24764 |
| 58 and 76 | 2204 |
| 19 and 35 | 665 |
| 26 and 57 | 1482 |
| 156 and 53 | 8268 |